Question

The square base has side lengths of 10 millimeters. The height of one triangular face is 15 millimeters. Find the total surface area of the square pyramid.

Answer 1

The formula for the surface area of a square pyramid is:
SA = (side times side) + #offaces(1/2 b times slantheight)
If you put all of the numbers into place it would be:
SA = (10 times 10) + 4(1/2 10 times 15)
Then:
SA = 100 + 4(1/2 150)
SA = 100 + 4(75)
SA = 100 + 300
SA = 400
So, the surface area of this square pyramid is 400mm squared.

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